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Finding the Third Proportional to 29,411,463,561,850 and 64,363,427,537,607

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Solution

The third proportional to 29,411,463,561,850 and 64,363,427,537,607 is: 140,851,569,513,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411,463,561,850 : 64,363,427,537,607 = 64,363,427,537,607 : x
  2. Step 2: Convert to fraction form
    29,411,463,561,850/64,363,427,537,607 = 64,363,427,537,607/x
  3. Step 3: Cross multiply
    29,411,463,561,850x = 64,363,427,537,607 × 64,363,427,537,607
  4. Step 4: Simplify right side
    29,411,463,561,850x = 4,142,650,804,388,786,882,515,828,736
  5. Step 5: Solve for x
    x = 4,142,650,804,388,786,882,515,828,736/29,411,463,561,850
  6. Step 6: Final answer
    x = 140,851,569,513,945.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.